Respuesta :

ANSWER

The y-coordinate for the y-intercept is 7.54

EXPLANATION

The y-intercept is the point at which the graph meets the y-axis.

At this point,the x-coordinate is 0.

The given function is

[tex]y = 75.4(1.08) ^{x} [/tex]

To find the y-intercept of this function, we just have to substitute x=0 into the function.

[tex]y = 75.4(1.08) ^{0} [/tex]

Note that, any non-zero number exponent 0 is 1.

Therefore

[tex] y = 75.4(1)[/tex]

[tex]y = 75.4[/tex]

The y-intercept is

[tex](0,75.4)[/tex]